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Maru [420]
3 years ago
10

Simplify. (-24x^3+18x+6) divided by (6x+3)

Mathematics
1 answer:
wariber [46]3 years ago
6 0

Answer:

It's d. -4x^2 + 2x + 2.

Step-by-step explanation:

            -4x^2 + 2x + 2.

            ------------------------

6x + 3 )-24x^3 + 0x^2 + 18x + 6

            -24x^3 - 12x^2

             --------------------

                            12x^2 + 18x

                            12x^2  + 6x

                              --------------

                                           12x + 6

                                           12x + 6

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Please help fast <br>need it by today
KiRa [710]
6. It is asking you to find the surface area for this one:

1 litre = 0.001 cubic meters
15.4 litres = 0.0154 cubic meters

The volume of the cylinder has to be 0.0154m^3.

V = (pi(r)^2)h
0.0154 = (pi(r)^2)(1)
r^2 = 0.0154/pi
r = 0.07m

Surface Area of Circles on Bottom:
A = pi(r)^2
A = pi(0.07)^2
A = 0.0154
0.0154*2 = 0.0308m^2

Surface Area of Walls:
This will be the circumference of the circle times the height, since the walls are just like a big rectangle.

C = 2pi(r)
C = 2pi(0.07)
C = 0.44m
0.44*1 = 0.44m^2

Finally, add the two surface areas:
0.44 + 0.0308 = 0.47m^2

You will need 0.47m^2 of sheet metal to make this cylinder.

7. Find the volume of everything and just the graphite, and subtract the graphite’s volume from everything to get just the wood. The volume of a cylinder is pi((r)^2)h.

Everything:
Watch out for units, since the diameter is in mm and the length is in cm.

r = 3.5mm or 0.35cm
V = pi((0.35)^2)(14)
V = 5.34cm^3

Graphite:

r = 0.5mm or 0.05cm
V = pi((0.05)^2)(14)
V = 0.11cm^3

5.34 - 0.11 = 5.23cm^3

8. For this problem, it wants your answer in cm^3. Find the volume of one bowl and multiply it by 250:

r = 3.5cm
V = pi((3.5)^2)(4)
V = 153.94cm^3

153.94*250 = 38484.51cm^3 of soup needed.

I sure hope that I didn’t confuse you too much with all of my math gibberish (sorry). Please let me know if there is anything else that I can help with. Have a nice day
3 0
3 years ago
The simplest form of the expression 4m-17/m^2-16 + 3m-11/m^2-16 has ____in the numerator and___ in the denominator.
lara31 [8.8K]
For this case we have the following expression:
 \frac{4m-17}{m^2-16} + \frac{3m-11}{m^2-16}
 Since the denominator is equal, then we can add the numerator.
 We have then:
 \frac{(4m-17) + (3m-11)}{m^2-16}
 Adding similar terms we have:
 \frac{(4m+3m) + (-17-11)}{m^2-16}
 Rewriting we have:
 \frac{7m - 28}{m^2-16}
 Doing common factor in the numerator we have:
 \frac{7(m - 4)}{m^2-16}
 Factoring the denominator we have:
 \frac{7(m - 4)}{(m-4)(m+4)}
 Canceling similar terms we have:
 \frac{7}{m+4}
 Answer:
 
The simplest form of the expression has 7 in the numerator and m+4 in the denominator.
3 0
3 years ago
Y=10/x+5 linear or nonlinear
Volgvan

Answer: Linear

Step-by-step explanation:

The equation y=mx+b which is used for this equation is a linear function.

8 0
3 years ago
What steps would you use to find the y-intercept of a line if given the information that the line has a slope of 4 and passes th
FromTheMoon [43]
Plot it on a grid and it’s eased to see
6 0
2 years ago
If it will take 21 cans of paint to complete three rooms of equal size, how many cans are needed for each room?
marta [7]

Answer:

7 cans

Step-by-step explanation:

21 cans = 3 rooms

 ? cans = 1 room

To get the answer, you have to divide 21 by 3,

which is 7.

Hope this helps!!

Plz let me know if I'm wrong...

3 0
3 years ago
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